Skip to main content
SpringerLink
Log in

Dividing and weak quasi-dimensions in arbitrary theories

  • Published:
Archive for Mathematical Logic Aims and scope Submit manuscript

Abstract

We show that any countable model of a model complete theory has an elementary extension with a “pseudofinite-like” quasi-dimension that detects dividing.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Garcia, D., Macpherson, D., Steinhorn, C.: Pseudofinite structures and simplicity. J. Math. Log. 15 (2015)

  2. Hrushovski E.: Stable group theory and approximate subgroups. J. Am. Math. Soc. 25(1), 189–243 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  3. Hrushovski E.: On pseudo-finite dimensions. Notre Dame J. Form. Log. 54(3–4), 463–495 (2013)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Statistics, and Computer Science, Science and Engineering Offices (M/C 249), University of Illinois at Chicago, 851 S. Morgan St., Chicago, IL, 60607-7045, USA

    Isaac Goldbring

  2. Department of Mathematics, University of Pennsylvania, 209 S. 33rd Street, Philadelphia, PA, 19104-6395, USA

    Henry Towsner

Authors
  1. Isaac Goldbring
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Henry Towsner
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Isaac Goldbring.

Additional information

Goldbring’s work was partially supported by NSF CAREER Grant DMS-1349399.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Goldbring, I., Towsner, H. Dividing and weak quasi-dimensions in arbitrary theories. Arch. Math. Logic 54, 915–920 (2015). https://doi.org/10.1007/s00153-015-0449-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00153-015-0449-4

Keywords

Mathematics Subject Classification

Search

Navigation